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Finding the Fourth Proportional to 3,160.89, 4,741.25 and 1,311.99

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Solution

The fourth proportional to 3,160.89, 4,741.25 and 1,311.99 is: 1,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.89 : 4,741.25 = 1,311.99 : x
  2. Step 2: Convert to fraction form
    3,160.89/4,741.25 = 1,311.99/x
  3. Step 3: Cross multiply
    3,160.89x = 4,741.25 × 1,311.99
  4. Step 4: Simplify right side
    3,160.89x = 6,220,466.03
  5. Step 5: Solve for x
    x = 6,220,466.03/3,160.89
  6. Step 6: Final answer
    x = 1,967.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.